I'm confident that if they hold the vote off until after 2012, and conservatives win both chambers and the white house, it will pass.
The GOP has no idea what they're doing as a whole when it comes to the Balanced Budget Amendment. Doesn't help that a large part of their party thinks the budget can be balanced by cutting waste, NPR, and foreign aid. If a lot of "Conservatives" realized the full implications of what the Balanced Budget Amendment entails, they likely wouldn't support it.
It goes much further than the Ryan plan (which helped Republicans lose a extremely red district) and none of Reagan's budgets would have been constitutional under it.
I still stand by the fact that 49 states have some form of a Balanced Budget Amendment and a ton of them are in deep trouble even with the help of the Federal Government. Without the Feds, several states would likely be completely bankrupt at this point. This doesn't even include the ones like Texas which are "balancing" their budgets through accounting measures. If the BBA was the magical solution that some of it's proponents are saying it is, we wouldn't be having these problems.